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Finding the Fourth Proportional to 524,291.97, 784,746.41 and 271,223.97

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Solution

The fourth proportional to 524,291.97, 784,746.41 and 271,223.97 is: 405,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,291.97 : 784,746.41 = 271,223.97 : x
  2. Step 2: Convert to fraction form
    524,291.97/784,746.41 = 271,223.97/x
  3. Step 3: Cross multiply
    524,291.97x = 784,746.41 × 271,223.97
  4. Step 4: Simplify right side
    524,291.97x = 212,842,035,407.33
  5. Step 5: Solve for x
    x = 212,842,035,407.33/524,291.97
  6. Step 6: Final answer
    x = 405,960.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.